Numerical approach for simulating the tensioning process of complex prestressed cable-net structures
Abstract
The stability of cable-net structures depends on the prestress of the system. Due to the large displacement and mutual effect of the cables, it is difficult to simulate the tensioning process and control the forming accuracy. The Backward Algorithm (BA) has been used to simulate the tensioning process. The traditional BA involves complicated and tedious matrix operations. In this paper, a new numerical method based on the Vector Form Intrinsic Finite Element (VFIFE) method is proposed for BA application. Moreover, the tensioning sequence of a complex cable-net structure is introduced. Subsequently, a new approach for BA application in the simulation of the tensioning process is presented, which combines the VFIFE approach and the notion of form-finding. Finally, a numerical example is simulated in detail and the results of different tensioning stages are analyzed to verify the feasibility of the proposed approach. This study provides a significant reference for improving the construction control and forming accuracy of complex prestressed cable-net structures.
Keyword : tensioning process simulation, Backward algorithm, complex cable-net structure, computational method, Vector Form Intrinsic Finite Element
How to Cite
Chen, D., Zhang, Y., Qian, H., Wang, H., & Jin, X. (2021). Numerical approach for simulating the tensioning process of complex prestressed cable-net structures. Journal of Civil Engineering and Management, 27(8), 571-578. https://doi.org/10.3846/jcem.2021.15776
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
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Yang, B., & Sun, M. (1998). Cable tensions for cable-stayed bridges and optimized nonlinear back-running analysis. China Journal of Highway and Transport, 3, 57–63 (in Chinese).
Ye, J., & Nian, Q. (2017). Progressive collapse simulation based on DEM for single-layer reticulated domes. Journal of Constructional Steel Re-search, 128, 721–731. https://doi.org/10.1016/j.jcsr.2016.09.025
Yuan, S., & Yang, B. (2019). The fixed nodal position method for form finding of high precision lightweight truss structures. International Jour-nal of Solids and Structures, 161, 82–95. https://doi.org/10.1016/j.ijsolstr.2018.11.011
Behin, Z., & Murray, D. W. (1992). A substructure-frontal technique for cantilever erection analysis of cable-stayed bridges. Computers & Struc-tures, 42(2), 145–157. https://doi.org/10.1016/0045-7949(92)90200-J
Cruz, P. J. S., Mari, A. R., & Roca, P. (1998). Nonlinear time-dependent analysis of segmentally constructed structures. Journal of Structural Engineering, 124(3), 278–287. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:3(278)
Dong, X., Bin, C., & Lei, L. (2009). Tensioning process of Sanhao arch pylon cable-stayed bridge. Iabse Symposium Report, 96(11), 49–56. https://doi.org/10.2749/222137809796078306
Gao, Z., Xue, S., & Wang, T. (2017). Four-step tensioning construction method and experimental study for rigid bracing dome. International Journal of Steel Structures, 18(1), 281–291. https://doi.org/10.1007/s13296-017-1002-6
Granata, M. F., Longo, G., Recupero, A., & Arici, M. (2018). Construction sequence analysis of long-span cable-stayed bridges. Engineering Structures, 174, 267–281. https://doi.org/10.1016/j.engstruct.2018.07.064
Hou, X., Fang, Z., & Zhang, X. (2018). Static contact analysis of spiral bevel gear based on modified VFIFE (vector form intrinsic finite element) method. Journal of Engineering Mechanics, 60, 192–207. https://doi.org/10.1016/j.apm.2018.03.021
Janjic, D., Pircher, M., & Pircher, H. (2003). Optimization of cable tensioning in cable-stayed bridges. Journal of Bridge Engineering, 8(3), 131–137. https://doi.org/10.1061/(ASCE)1084-0702(2003)8:3(131)
Li, P., Liu, C., Tian, Q., Hu, H., & Song, Y. (2016). Dynamics of a deployable mesh reflector of satellite antenna: Form-finding and modal analy-sis. Journal of Computational and Nonlinear Dynamics, 11(4), 041017. https://doi.org/10.1115/1.4033440
Li, X., Guo, X., & Guo, H. (2018a). Vector form intrinsic finite element method for nonlinear analysis of three-dimensional marine risers. Ocean Engineering, 161, 257–267. https://doi.org/10.1016/j.oceaneng.2018.05.009
Li, X., Guo, X., & Guo, H. (2018b). Vector form intrinsic finite element method for the two-dimensional analysis of marine risers with large de-formations. Journal of Ocean University of China, 17(3), 498–506. https://doi.org/10.1007/s11802-018-3340-1
Liu, H., Zhang, W., Yuan, H., Jin, Z., & Zheng, J. (2016). Modified double-control form-finding analysis for suspendomes considering the con-struction process and the friction of cable-strut joints. Engineering Structures, 120, 75–81. https://doi.org/10.1016/j.engstruct.2016.04.023
Liu, R., Guo, H., Liu, R., Tang, D., Wang, H., & Deng, Z. (2019). Design and form finding of cable net for a large cable-rib tension antenna with flexible deployable structures. Engineering Structures, 199(15), 109662. https://doi.org/10.1016/j.engstruct.2019.109662
Lozano-Galant, J. A., Payá-Zaforteza, I., Dong, X., & Turmo, J. (2012). Forward Algorithm for the construction control of cable-stayed bridges built on temporary supports. Engineering Structures, 40, 119–130. https://doi.org/10.1016/j.engstruct.2012.02.022
Lozano-Galant, J. A., Dong, X., Payá-Zaforteza, I., & Turmo, J. (2013). Direct simulation of the tensioning process of cable-stayed bridges. Com-puters & Structures, 121, 64–75. https://doi.org/10.1016/j.compstruc.2013.03.010
Maddio, P. D., Meschini, A., Sinatra, R., & Cammarata, A. (2019). An optimized form-finding method of an asymmetric large deployable reflector. Engineering Structures, 181, 27–34. https://doi.org/10.1016/j.engstruct.2018.11.077
Mao, C. S., Du, G. H., & Fan, L. C. (1995). A backward analysis with creep effect for concrete cable-stayed bridges. China Journal of Highway and Transport, 8(1), 42–46 (in Chinese).
Nan, R., & Peng, B. (2000). A Chinese concept for the 1 km2 radio telescope. Acta Astronautica, 46, 667–675. https://doi.org/10.1016/S0094-5765(00)00030-8
Nazmy, A. S., & Abdel-Ghaffar, A. M. (2005). Three-dimensional nonlinear static analysis of cable-stayed bridges. Computers & Structures, 34(2), 257–271. https://doi.org/10.1016/0045-7949(90)90369-D
Qian, H. (2007). Theoretical and experimental research on supporting structure of FAST reflector [PhD dissertation]. Harbin Institute of Tech-nology, Harbin, China.
Reddy, P., Ghaboussi, J., & Hawkins, N. M. (1999). Simulation of the construction of cable-stayed bridges. Journal of Bridge Engineering, 4(4), 249–257. https://doi.org/10.1139/l97-109
Shi, C., Guo, H., Cheng, Y., Liu, R., & Deng, Z. (2021). Design and multi-objective comprehensive optimization of cable-strut tensioned antenna mechanism. Acta Astronautica, 178, 406–422. https://doi.org/10.1016/j.actaastro.2020.09.031
Shi, C., Wang, Y. K., Ting, E. C. (2004). Fundamentals of a vector form intrinsic finite element: Part III. Convected material frame and examples. Journal of Mechanics, 20, 133–143. https://doi.org/10.1017/S172771910000335X
Ting, E. C., Shi, C., & Wang, Y. K. (2004a). Fundamentals of a vector form intrinsic finite element: Part I. Basic procedure and a planar frame element. Journal of Mechanics, 20, 113–122. https://doi.org/10.1017/S1727719100003336
Ting, E. C., Shi, C., & Wang, Y. K. (2004b). Fundamentals of a vector form intrinsic finite element: Part II. Plane solid element. Journal of Me-chanics, 20, 123–132. https://doi.org/10.1017/S1727719100003348
Wang, P. H., Tang, T. Y., & Zheng, H. N. (2004). Analysis of cable-stayed bridges during construction by cantilever methods. Computers & Structures, 82(4–5), 329–346. https://doi.org/10.1016/j.compstruc.2003.11.003
Xu, L., & Lin, M. (2017). Analysis of buried pipelines subjected to reverse fault motion using the vector form intrinsic finite element method. Soil Dynamics and Earthquake Engineering, 93, 61–83. https://doi.org/10.1016/j.soildyn.2016.12.004
Yang, B., & Sun, M. (1998). Cable tensions for cable-stayed bridges and optimized nonlinear back-running analysis. China Journal of Highway and Transport, 3, 57–63 (in Chinese).
Ye, J., & Nian, Q. (2017). Progressive collapse simulation based on DEM for single-layer reticulated domes. Journal of Constructional Steel Re-search, 128, 721–731. https://doi.org/10.1016/j.jcsr.2016.09.025
Yuan, S., & Yang, B. (2019). The fixed nodal position method for form finding of high precision lightweight truss structures. International Jour-nal of Solids and Structures, 161, 82–95. https://doi.org/10.1016/j.ijsolstr.2018.11.011